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crimeas [40]
3 years ago
12

f the line passing through the points (1, a) and (5, −2) is parallel to the line passing through the points (2, 8) and (−5, a +

7), what is the value of a?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

a=-6

Step-by-step explanation:

Line 1:  (1, a) and (5, −2)

slope of the   line is

slope = \frac{y_2-y_1}{x_2-x_1} =\frac{-2-a}{5-1} =\frac{-2-a}{4}

Line 2:  (2, 8) and (−5, a + 7)

slope of the   line is

slope = \frac{y_2-y_1}{x_2-x_1} =\frac{a+7-8}{-5-2} =\frac{a-1}{-7}

when the lines are parallel then slopes are equal

\frac{a-1}{-7} =\frac{-2-a}{4}

cross multiply it

4(a-1)=-7(-2-a)

4a-4=14+7a

subtract 4a from both sides

-4=14+3a

-18=+3a

divide both sides by 3

a=-6

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